In this article a notion of viscosity solutions is introduced for second-order path-dependent Hamilton–Jacobi–Bellman (PHJB) equations associated with optimal control problems stochastic differential equations. We identify the value functional as unique solution to PHJB also show that our consistent corresponding classical and satisfies stability property. Applications backward are given.

Binary code similarity detection (BCSD) aims to identify whether a pair of binary snippets is similar, which widely used for tasks such as malware analysis, patch and clone detection. Current state-of-the-art approaches are based on Transformer, require substantial computation resources. Learning-based remains room optimization in learning the deeper semantics code. In this paper, we propose MSSA, multi-stage semantic-aware neural network BCSD at function level. It effectively integrates...

In this article, we consider an optimal control problem in which the controlled state dynamics is governed by a stochastic evolution equation Hilbert spaces and cost functional has quadratic growth. The existence uniqueness of are obtained means associated backward differential equations with growth unbounded terminal value. As application, partial dynamical boundary conditions also given to illustrate our results.

In this paper, we investigate a class of infinite-horizon optimal control problems for stochastic differential equations with delays which the associated second order Hamilton−Jacobi−Bellman (HJB) equation is nonlinear partial delays. We propose new concept viscosity solution including time t and identify value function as unique to HJB equation.

In this article, a notion of viscosity solutions is introduced for second-order Hamilton–Jacobi–Bellman (HJB) equations with delays associated optimal control problems stochastic differential delays. We identify the value functional problem as unique solution to HJB equation.

Clustering Algorithm is a kind of key technique used to reduce energy consumption, which can increase network scalability and lifetime.The main goal this research concerning protocols contain in-motion sensor nodes in large-scale topologies, constitute fleet wireless assistant in-flight localization alignment for carrier-based aircraft.In paper, we abstract model according specific conditions F-WSN, select performance indicators evaluate it.A distributed multiple-weight data gathering...

We consider the optimal control for a Banach space valued stochastic delay evolution equation. The existence and uniqueness of mild solution associated Hamilton–Jacobi–Bellman equations are obtained by means backward differential equations. An application to partial is also given.

In this article, optimal control problems of differential equations with delays are investigated for which the associated Hamilton–Jacobi–Bellman (HJB) nonlinear partial delays. This type HJB equation has not been previously studied and is difficult to solve because state do possess smoothing properties. We introduce a new notion viscosity solutions identify value functional as unique solution equations. An analytical example given application.

In order to realize automatic navigation for agricultural robot, a fuzzy control method steering and line tracking are conveyed in the article. The principal construction of controller described detail. validate these two methods, robot was developed, which refitted from storage battery car. Navigation system is developed based on using GPS, digital compass other sensors. acquires location information by GPS compass, can method. Test results indicated that lateral error less than 0.3 m when...

In this article, a notion of viscosity solutions is introduced for first order path-dependent Hamilton-Jacobi-Bellman (HJB) equations associated with optimal control problems differential equations. We identify the value functional as unique solution to HJB also show that our consistent corresponding classical solutions, and satisfies stability property.

In this article, a notion of viscosity solutions is introduced for second order path-dependent Hamilton-Jacobi-Bellman (PHJB) equations associated with optimal control problems stochastic differential equations. We identify the value functional as unique solution to PHJB also show that our consistent corresponding classical solutions, and satisfies stability property. Applications backward are given.

The existence and uniqueness of the mild solution for semilinear elliptic partial differential equations associated with stochastic delay evolution are obtained by means infinite horizon backward equations. Applications to optimal control an also given.

The articulated arm coordinate measuring machine (AACMM) is a new type (CMM) base on the linkage structure. kinematic model of 6-DOF AACMM with DH method was established, and from systems joint structural parameters are obtained. Jacobian matrix deduced by differential transformation AACMM, according to matrix, error transfer coefficients were calculated. Then calculation results influence accuracy analyzed, which provides theoretical basis for calibration, tolerance distribution parts...

AbstractIn this paper, a controlled stochastic delay heat equation with Neumann boundary-noise and boundary-control is considered. The existence uniqueness of the mild solution for associated Hamilton–Jacobi–Bellman equations are obtained by means backward differential equations, which applied to optimal control problem.Keywords: equationboundary-noiseboundary-controloptimal controlHamilton–Jacobi–Bellman equationsbackward equationsAMS subject classifications: 93E2060H3060H15

In this article, a class of optimal control problems differential equations with delays are investigated for which the associated Hamilton-Jacobi-Bellman (HJB) nonlinear partial delays. This type HJB equation has not been previously studied and is difficult to solve because state do possess smoothing properties. We introduce slightly different notion viscosity solutions identify value function as unique solution equations.

In this research, automatic navigation control system is developed for agricultural electric power vehicles. Electric steering (EPS) systems have many advantages over traditional hydraulic in engine efficiency and space efficiency. So the vehicle experiment equips EPS system. Navigation method, fuzzy path planning are discussed detail. method adopts preview following method. Fuzzy used controller developed. Cross track error (XTE) direction two input variables of controller. system, RTK-GPS,...